To learn how to recognize (and then factor) these sort-of quadratics, try here.

Short version: If you have two variable terms and the power on the one term's variable is twice the power on the other term's variable, you have something of quadratic "form". That is, if you have ax^(2m) + bx^(m) + c, then you have a quadratic in x^m: a(x^m)^2 + b(x^m) + c. (Wink)